Hilda and Liam had a total of $138. After Hilda spent
47 of her money and Liam spent $10, the ratio of Hilda's money to Kennenth's money became 1 : 3. How much money had Liam at first?
| |
Hilda |
Liam |
Total |
| Before |
7 u |
9 u + $10 |
$138 |
| Change |
- 4 u |
- $10 |
|
| After |
3 u |
|
|
Comparing Hilda and
Liam in the end |
1x3 =
3 u |
3x3 =
9 u |
|
The amount that Hilda had in the end is repeated. Make the amount that Hilda had in the end the same. LCM of 3 and 1 is 3.
Total amount that Hilda and Liam had at first
= 7 u + 9 u + 10
= 16 u + 10
16 u + 10 = 138
16 u = 138 - 10
16 u = 128
1 u = 128 ÷ 16 = 8
Amount that Liam had at first
= 9 u + 10
= 9 x 8 + 10
= 72 + 10
= $82
Answer(s): $82
